Percent Calculator

Calculate percentages, increases, and decreases

Quick Examples

• 15% of 200 = 30
• 25% of 80 = 20

How to Use the Percent Calculator

Step-by-Step Instructions

  1. Select the type of percentage calculation you want to perform from the dropdown menu
  2. Enter the required values in the input fields
  3. Click "Calculate" to see the result
  4. View the detailed explanation below the result
  5. Use "Clear" to reset all fields for a new calculation

Available Calculation Types

  • Percentage of a Number: Find what X% of Y equals
  • Percent Change: Calculate the percentage increase or decrease between two values
  • What Percent: Determine what percentage one number is of another
  • Tip Calculator: Calculate tips and total bill amounts
  • Markup Calculator: Calculate selling prices with markup percentages
  • Decimal ↔ Percent Conversion: Convert between decimal and percentage formats

Understanding Percent

Percentages are one of the most commonly used mathematical concepts in daily life. From calculating tips and discounts to analyzing data and financial information, understanding percentages is essential for making informed decisions.

What is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." When we say 25%, we mean 25 out of 100, or 25/100, which equals 0.25 as a decimal.

Common Percentage Calculations

  • Finding a percentage of a number: Used for calculating discounts, taxes, tips, and portions
  • Percentage change: Essential for analyzing growth, inflation, stock prices, and performance metrics
  • Determining what percent: Useful for comparing parts to wholes, like test scores or survey results
  • Business applications: Markup calculations, profit margins, and commission calculations

Real-World Applications

Percentages appear everywhere in modern life: sales tax calculations, interest rates, statistical data, academic grades, business analytics, cooking recipe adjustments, and financial planning. Mastering percentage calculations helps you understand news reports, make smart purchasing decisions, and analyze your personal finances effectively.

Formula & Calculation Method

Essential Percentage Formulas

Percentage of a Number

Result = (Number × Percentage) ÷ 100

Example: 15% of 200 = (200 × 15) ÷ 100 = 30

Percent Change

Percent Change = ((New Value - Old Value) ÷ Old Value) × 100

Example: From 80 to 100 = ((100 - 80) ÷ 80) × 100 = 25%

What Percent Is X of Y

Percentage = (Part ÷ Whole) × 100

Example: What percent is 25 of 100? = (25 ÷ 100) × 100 = 25%

Decimal to Percent Conversion

Percentage = Decimal × 100

Example: 0.75 = 0.75 × 100 = 75%

Percent to Decimal Conversion

Decimal = Percentage ÷ 100

Example: 45% = 45 ÷ 100 = 0.45

Frequently Asked Questions

Tips & Best Practices

  • Remember: percentage = part/whole × 100
  • To find the original price before a discount, divide the sale price by (100% - discount%)
  • When calculating tips, round up to the nearest dollar for convenience
  • Use percent change to track investments, weight loss, or business growth
  • Double-check percentage calculations by working backwards from the result
  • For quick mental math: 10% = move decimal one place left, 1% = move two places
  • When comparing percentages, always consider the base values they represent
  • Use the conversion tool to quickly switch between decimal and percentage formats